19683/16384: Difference between revisions
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YoVariable (talk | contribs) m Changed "classic major third" to classic minor third for 6/5 approximation |
m Undo revision 211135 by M1k1 H2tsun2 (talk) Tag: Undo |
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{{Infobox Interval | {{Infobox Interval | ||
| Name = Pythagorean augmented second | | Name = Pythagorean augmented second, Evadairean comma | ||
| Color name = | | Color name = Lw2, lawa 2nd | ||
}} | }} | ||
The '''Pythagorean augmented | The '''Pythagorean augmented second''', '''19683/16384''', may be reached by stacking 9 3/2's and octave reducing. It differs from the classic minor third, [[6/5]], by the [[schisma]], and, as a result, the Pythagorean augmented second is in fact rather consonant and some may consider it a minor third (see [[Interval region]]). | ||
== Temperaments == | |||
When this ratio is taken as a comma to be tempered out, it produces the [[tervenna]] temperament, and has been named the '''Evadairean comma''' (by analogy with the Pythagorean comma not sharing its name with compton temperament)<!-- who is Evadairean? -->. Edos tempering it out include [[9edo]], as well as [[18edo]] if its flat fifth is used. It can be used as a generator for [[hanson]]. | |||
== See also == | == See also == | ||
* [[32768/19683]] – its [[octave complement]] | |||
* [[8192/6561]] – its [[fifth complement]] | * [[8192/6561]] – its [[fifth complement]] | ||
* [[Gallery of just intervals]] | * [[Gallery of just intervals]] | ||
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[[Category:Second]] | [[Category:Second]] | ||
[[Category:Augmented | [[Category:Augmented second]] | ||
[[Category:Third]] | [[Category:Third]] | ||
[[Category:Minor third]] | [[Category:Minor third]] | ||
Latest revision as of 11:52, 27 September 2025
| Interval information |
Evadairean comma
reduced harmonic
The Pythagorean augmented second, 19683/16384, may be reached by stacking 9 3/2's and octave reducing. It differs from the classic minor third, 6/5, by the schisma, and, as a result, the Pythagorean augmented second is in fact rather consonant and some may consider it a minor third (see Interval region).
Temperaments
When this ratio is taken as a comma to be tempered out, it produces the tervenna temperament, and has been named the Evadairean comma (by analogy with the Pythagorean comma not sharing its name with compton temperament). Edos tempering it out include 9edo, as well as 18edo if its flat fifth is used. It can be used as a generator for hanson.